A shaving apparatus has at least one cutting unit detachably coupled to a drive mechanism via a coupling having first and second coupling members. The second coupling member has a coupling cavity. A coupling head of the first coupling member is in a form-locking engagement in the coupling cavity to transfer a driving force, and is detachable from the coupling cavity by movement in an axial direction parallel to an axis of rotation of the cutting unit. The second coupling member has a plurality of recesses, each recess extending in a radial direction from the coupling cavity and being delimited by two radially extending side wall sections. Each of the two radially extending side wall sections forms an edge with a bottom surface of the second coupling member, and the edges of each recess converge in a radially outward direction in relation to the axis of rotation.